Search a number
-
+
242532642 = 231121743457
BaseRepresentation
bin11100111010011…
…00000100100010
3121220100221020110
432131030010202
5444042021032
640022152150
76003331152
oct1635140442
9556327213
10242532642
111149a3400
1269282656
133b329851
14242d4762
151645b7cc
hexe74c122

242532642 has 96 divisors (see below), whose sum is σ = 578926656. Its totient is φ = 67415040.

The previous prime is 242532629. The next prime is 242532683. The reversal of 242532642 is 246235242.

242532642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530478 + ... + 530934.

It is an arithmetic number, because the mean of its divisors is an integer number (6030486).

Almost surely, 2242532642 is an apocalyptic number.

242532642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242532642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289463328).

242532642 is an abundant number, since it is smaller than the sum of its proper divisors (336394014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242532642 is a wasteful number, since it uses less digits than its factorization.

242532642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 242532642 is about 15573.4595385868. The cubic root of 242532642 is about 623.6248309821.

Adding to 242532642 its reverse (246235242), we get a palindrome (488767884).

The spelling of 242532642 in words is "two hundred forty-two million, five hundred thirty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 43 51 66 86 102 121 129 187 242 258 363 374 457 473 561 726 731 914 946 1122 1371 1419 1462 2057 2193 2742 2838 4114 4386 5027 5203 6171 7769 8041 10054 10406 12342 15081 15538 15609 16082 19651 23307 24123 30162 31218 39302 46614 48246 55297 58953 85459 88451 110594 117906 165891 170918 176902 216161 256377 265353 331782 334067 432322 512754 530706 648483 668134 940049 1002201 1296966 1880098 2004402 2377771 2820147 3674737 4755542 5640294 7133313 7349474 11024211 14266626 22048422 40422107 80844214 121266321 242532642